Let g(x) = x and f(x) = kx2, where k is a constant. (a) Find the slope of the tangent

Chapter 0, Problem 60

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Let g(x) = x and f(x) = kx2, where k is a constant. (a) Find the slope of the tangent line to the graph of g at the point (4, 2). (b) Find the equation of this tangent line. (c) If the graph of f contains the point (4, 2), find k. (d) Where does the graph of f intersect the tangent line found in part (b)?

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